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Finding the Fourth Proportional to 206,943.80, 310,415.70 and 82,284.80

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Solution

The fourth proportional to 206,943.80, 310,415.70 and 82,284.80 is: 123,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,943.80 : 310,415.70 = 82,284.80 : x
  2. Step 2: Convert to fraction form
    206,943.80/310,415.70 = 82,284.80/x
  3. Step 3: Cross multiply
    206,943.80x = 310,415.70 × 82,284.80
  4. Step 4: Simplify right side
    206,943.80x = 25,542,493,791.36
  5. Step 5: Solve for x
    x = 25,542,493,791.36/206,943.80
  6. Step 6: Final answer
    x = 123,427.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.